Search a number
-
+
301213140 = 223517229599
BaseRepresentation
bin10001111101000…
…010010111010100
3202222210012202020
4101331002113110
51104102310030
645520013140
710315161264
oct2175022724
9688705666
10301213140
11145032988
1284a611b0
134a534037
142c00b7a4
151b69d510
hex11f425d4

301213140 has 144 divisors (see below), whose sum is σ = 928368000. Its totient is φ = 72869888.

The previous prime is 301213117. The next prime is 301213153. The reversal of 301213140 is 41312103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502561 + ... + 503159.

It is an arithmetic number, because the mean of its divisors is an integer number (6447000).

Almost surely, 2301213140 is an apocalyptic number.

301213140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464184000).

301213140 is an abundant number, since it is smaller than the sum of its proper divisors (627154860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301213140 is a wasteful number, since it uses less digits than its factorization.

301213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 301213140 is about 17355.4930785616. The cubic root of 301213140 is about 670.3340874862.

Adding to 301213140 its reverse (41312103), we get a palindrome (342525243).

The spelling of 301213140 in words is "three hundred one million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 289 290 340 348 435 493 510 578 580 599 867 870 986 1020 1156 1198 1445 1479 1734 1740 1797 1972 2396 2465 2890 2958 2995 3468 3594 4335 4930 5780 5916 5990 7188 7395 8381 8670 8985 9860 10183 11980 14790 16762 17340 17371 17970 20366 25143 29580 30549 33524 34742 35940 40732 41905 50286 50915 52113 61098 69484 83810 86855 100572 101830 104226 122196 125715 152745 167620 173111 173710 203660 208452 251430 260565 295307 305490 346222 347420 502860 519333 521130 590614 610980 692444 865555 885921 1038666 1042260 1181228 1476535 1731110 1771842 2077332 2596665 2953070 3462220 3543684 4429605 5020219 5193330 5906140 8859210 10040438 10386660 15060657 17718420 20080876 25101095 30121314 50202190 60242628 75303285 100404380 150606570 301213140